# Inspired by Jason Chrysoprase

Algebra Level 5

True or false:

a) The polynomial $$p(x) = x^2 + 1 \in \mathbb{C}[x]$$ is an irreducible polynomial over $$\mathbb{C}$$

b) The polynomial $$p(x) = x^2 + 1 \in \mathbb{Z}_2 [x]$$ is an irreducible polynomial over $$\mathbb{Z}_2$$.

Definition.-

Irreducible polynomial

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